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Simplifying -8 + 5k + -6k + 9 = 5k + -3 + -2k Reorder the terms: -8 + 9 + 5k + -6k = 5k + -3 + -2k Combine like terms: -8 + 9 = 1 1 + 5k + -6k = 5k + -3 + -2k Combine like terms: 5k + -6k = -1k 1 + -1k = 5k + -3 + -2k Reorder the terms: 1 + -1k = -3 + 5k + -2k Combine like terms: 5k + -2k = 3k 1 + -1k = -3 + 3k Solving 1 + -1k = -3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 1 + -1k + -3k = -3 + 3k + -3k Combine like terms: -1k + -3k = -4k 1 + -4k = -3 + 3k + -3k Combine like terms: 3k + -3k = 0 1 + -4k = -3 + 0 1 + -4k = -3 Add '-1' to each side of the equation. 1 + -1 + -4k = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = -3 + -1 -4k = -3 + -1 Combine like terms: -3 + -1 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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